Tan 200 Degrees

Sin, Cos, Tan, Cot of an Angle
Function
Angle (°)

What is tan 200°?

Answer

tan 200° ≈
0.3640

Angle in radians: 200° = 10π/9. The point of the angle is in quadrant III, where tangent is positive.

≈ — rounded to 4 decimal places. tan 200° can't be written with square roots: 200° is not a multiple of 3°.

tan 200° = tan(180° + 20°) = tan 20° ≈ 0.3640

tan 200° = sin 200° / cos 200° ≈ 0.3640

xyOP

P(cos 200°, sin 200°) ≈ (−0.9397, −0.3420)

T(1, tan 200°) ≈ (1, 0.3640) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

All four functions of 200°
FunctionExact valueDecimal
sin 200°—≈ −0.3420
cos 200°—≈ −0.9397
tan 200°—≈ 0.3640
cot 200°—≈ 2.7475

Reference angle: tan 20° ≈ 0.3640

See Also

Recalculate with different values ↑

Tangent of nearby angles

Angletan
180°0
195°2 − √3
198°√(25 − 10√5)/5
200°≈ 0.3640
210°√3/3
211°≈ 0.6009
215°≈ 0.7002

FAQ

What is tan 200°?

tan 200° ≈ 0.3640

Why does tan 200° have no exact value?

A trigonometric value of a whole number of degrees can be written with square roots only when the angle is a multiple of 3°. 200° is not, so no such exact form exists; the value is used as a decimal: tan 200° ≈ 0.3640.

Why does a calculator show −1.7925 for tan 200?

The calculator is in radian mode (RAD): it takes tan 200 as the tangent of 200 radians, tan 200 rad ≈ −1.7925. Switch it to degrees (DEG): tan 200° ≈ 0.3640. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also